Question

A right prism has a triangular base. The length of the base is 9 feet and the height of the base is 8 feet. The height of the prism is 2.5 feet.

What is the volume of the prism?
42.5 ft
74.5 ft
80 ft
90 ft

Answer 1

90 ft 3

Explanation:

Answer 2

A right prism has a triangular base .

Length of the base of prism is 9 feet

Height of the base is 8 feet

Height of prism is 2.5 feet

We have been asked to determine the volume of the prism .

`\\ \bullet{\boxed{ \purple{\bf{ volume \: of \: prism= \: triangular \: base \: area \: * length }}}}`

Put the value we obtain

`\sf \implies \: volume \: of \: prism \: = \bigg((1)/(2) * 9 * 8 \bigg) * 2.5 \\ \\ \sf \implies \: volume \: of \: prism \: = 9 * 4 * 2.5 \\ \\ \sf \implies \: volume \: of \: prism \: = 36 * 2.5 \\ \\ \sf \implies \: volume \: of \: prism \: = 90 {feet}^(3)`

So, the volume of the prism is 90 feet³ .

Your Correct option is 90 ft